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Simplifying 4(3 + -5x + -4x) + 5(7x + 4) = 21 Combine like terms: -5x + -4x = -9x 4(3 + -9x) + 5(7x + 4) = 21 (3 * 4 + -9x * 4) + 5(7x + 4) = 21 (12 + -36x) + 5(7x + 4) = 21 Reorder the terms: 12 + -36x + 5(4 + 7x) = 21 12 + -36x + (4 * 5 + 7x * 5) = 21 12 + -36x + (20 + 35x) = 21 Reorder the terms: 12 + 20 + -36x + 35x = 21 Combine like terms: 12 + 20 = 32 32 + -36x + 35x = 21 Combine like terms: -36x + 35x = -1x 32 + -1x = 21 Solving 32 + -1x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1x = 21 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 21 + -32 -1x = 21 + -32 Combine like terms: 21 + -32 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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